If cot x° = three fourths, what is the value of b?
b = 4
b = 5
b = 6
b = 7

b = 7

Step-by-step explanation:

Cot x = adjacent/opposite = LM/MN = 3/4

LM = 10.5

10.5/MN = 3/4

∴ MN = 10.5/(3/4) = 10.5*4/3 = 14

But MN = 2b

∴ 2b = 14

∴ b = 14/2 = 7

b=7

Step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3